BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071
BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Solutions

Chapter 1.6, Problem 62E
To determine

To find: The time taken by Stan to mow the lawn.

Expert Solution

Answer to Problem 62E

The time taken by Stan to mow the loan is 2 hrs.

Explanation of Solution

Given:

Hilda works twice as fast as Stan. If they work together than they take 40 min to mow the loan.

Calculation:

Let the time taken by Stan to mow the lawn be x.

Tabulate the given information algebraically.

In wordsIn Algebra
Time taken by Hildax
Time taken by Stan2x
Work done by Hilda1x
Work done by Stan12x
Work done by Hilda and Stan together in 1 min140

Model the equation for the above information as follows.

FractiondonebyStan+FractiondonebyHilda=Fractiondonebyboth12x+1x=140

On further simplification,

1+2=x20(MultiplybyLCD2x)3=x20x=20×3x=60

So, the time taken by Hilda is 60 min. That is, one hour.

Since Hilda works twice as fast as Stan, the time taken by Stan 2×60=120 minutes.

That is, 2 hours.

Thus, the time taken by Stan to mow the loan is 2 hrs.

Have a homework question?

Subscribe to bartleby learn! Ask subject matter experts 30 homework questions each month. Plus, you’ll have access to millions of step-by-step textbook answers!